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Simplifying -15 = 5(u + 8) + 6u Reorder the terms: -15 = 5(8 + u) + 6u -15 = (8 * 5 + u * 5) + 6u -15 = (40 + 5u) + 6u Combine like terms: 5u + 6u = 11u -15 = 40 + 11u Solving -15 = 40 + 11u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-11u' to each side of the equation. -15 + -11u = 40 + 11u + -11u Combine like terms: 11u + -11u = 0 -15 + -11u = 40 + 0 -15 + -11u = 40 Add '15' to each side of the equation. -15 + 15 + -11u = 40 + 15 Combine like terms: -15 + 15 = 0 0 + -11u = 40 + 15 -11u = 40 + 15 Combine like terms: 40 + 15 = 55 -11u = 55 Divide each side by '-11'. u = -5 Simplifying u = -5
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